A Course of Mathematics: In Two Volumes. Composed for the Use of the Royal Military Academy, Volume 1Longman, Orme & Company, 1841 - Mathematics |
From inside the book
Results 6-10 of 69
Page 66
... cube root of 8 is rational , being equal to 2 ; but the cube root of 9 is surd or irrational . Roots are sometimes denoted by writing the character ✓ before the power , with the index of the root against it . Thus , the 3d root of 20 ...
... cube root of 8 is rational , being equal to 2 ; but the cube root of 9 is surd or irrational . Roots are sometimes denoted by writing the character ✓ before the power , with the index of the root against it . Thus , the 3d root of 20 ...
Page 69
... CUBE ROOT * . 1. DIVIDE the page into three columns , and call them L , M , N , in order from left to right , and so that м shall be double the breadth of L , and N double the breadth of M. At the head of N place the number whose root ...
... CUBE ROOT * . 1. DIVIDE the page into three columns , and call them L , M , N , in order from left to right , and so that м shall be double the breadth of L , and N double the breadth of M. At the head of N place the number whose root ...
Page 70
... cube in the place appropriated to the root . 3. In the column L put three times the root already found , and in м ... cube of one figure never amounts to more than three places ; the cube of two figures to more than six , but always more ...
... cube in the place appropriated to the root . 3. In the column L put three times the root already found , and in м ... cube of one figure never amounts to more than three places ; the cube of two figures to more than six , but always more ...
Page 71
... cube root of 4822854 . L M 97 7825 27 .. 96 679 12 8879 576 1084 3276 36 3888 4336 N 48228544 ( 3764 27 21228 first resolvend . 73678 19656 1572544 second resolvend . 1572544 393136 Statement of the process . Here the number N being ...
... cube root of 4822854 . L M 97 7825 27 .. 96 679 12 8879 576 1084 3276 36 3888 4336 N 48228544 ( 3764 27 21228 first resolvend . 73678 19656 1572544 second resolvend . 1572544 393136 Statement of the process . Here the number N being ...
Page 72
... cube root of 9 to fifteen places of decimals . L 608 16 M 12 4 8 6 4 6.2 40 08 16 12.486 4 64 6.240 24 12.9792 ... cube root of 571482.19 . Ex . 4. Extract the cube root of 1628 1582 . Ex . 5. Extract the cube root of 1332 . Ex . 6 ...
... cube root of 9 to fifteen places of decimals . L 608 16 M 12 4 8 6 4 6.2 40 08 16 12.486 4 64 6.240 24 12.9792 ... cube root of 571482.19 . Ex . 4. Extract the cube root of 1628 1582 . Ex . 5. Extract the cube root of 1332 . Ex . 6 ...
Other editions - View all
Common terms and phrases
ABCD algebraic altitude arithmetical arithmetical progression base bisect breadth centre chord circle circumference coefficients common cone cosec cube root decimal denominator denoted diagonal diameter difference dihedral angle distance divided divisor draw drawn equal equation equiangular EXAMPLES expression figure fraction frustum geometrical given line greater hence inscribed integer intersection join length less lineation logarithms mantissa measure meeting method multiplied parallel parallel ruler parallelogram perpendicular plane polygon prism PROBLEM proportional quantity quotient radii radius ratio rectangle Reduce right angles rule Scholium segment sides sine solid angle solution square root straight line subtraction tangent THEOREM third trapezium triangle ABC u₁ vulgar fraction Whence